Home / 3,428.21-5,142.27-831.13

Finding the Fourth Proportional to 3,428.21, 5,142.27 and 831.13

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Solution

The fourth proportional to 3,428.21, 5,142.27 and 831.13 is: 1,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.21 : 5,142.27 = 831.13 : x
  2. Step 2: Convert to fraction form
    3,428.21/5,142.27 = 831.13/x
  3. Step 3: Cross multiply
    3,428.21x = 5,142.27 × 831.13
  4. Step 4: Simplify right side
    3,428.21x = 4,273,894.87
  5. Step 5: Solve for x
    x = 4,273,894.87/3,428.21
  6. Step 6: Final answer
    x = 1,246.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.